The cost price of a shirt is ₹450. A shopkeeper marks its price in such a way that he earns a profit of 24% after giving 25% discount on its marked price. The marked price (in ₹) of the shirt is:
- A744
- B730.8
- C670.5
- D675
Solution & Step-by-step Explanation
We can use the direct relation formula between Cost Price (CP) and Marked Price (MP):
CP
MP
=
100−Discount %
100+Profit %
Given:
CP=₹450
Profit %=24%
Discount %=25%
Substitute the values:
450
MP
=
100−25
100+24
450
MP
=
75
124
MP=450×
75
124
MP=6×124=744
Thus, the marked price of the shirt is ₹744.
CP
MP
=
100−Discount %
100+Profit %
Given:
CP=₹450
Profit %=24%
Discount %=25%
Substitute the values:
450
MP
=
100−25
100+24
450
MP
=
75
124
MP=450×
75
124
MP=6×124=744
Thus, the marked price of the shirt is ₹744.